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3 years ago

(-3,8) (2, - 11)

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

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270 is 90% of what number?

kakasveta [241]

$90\% \ of \ x =270 \\\\ \frac{90}{100}*x=270 \\\\ \frac{9}{10}=\frac{270}{x} \\\\ x=\frac{10*270}{9} \\\\ x=10*30 \\\\ \boxed{x=300}$

6 0

4 years ago

The cost of pool service includes labor and supplies. labor is 80% of the total cost. the cost of labor for a certain pool servi

laila [671]

Answer:

I know im late but the answer is 275 I just took the test on k-12

Step-by-step explanation:

3 0

2 years ago

How many solutions exist for the given equation?<br> 12x + 1 = 3(4x + 1) - 2

VladimirAG [237]

Answer:

Infinite

Step-by-step explanation:

3(4x + 1) - 2

= 12x + 3 - 2 (Multiply the sum in the bracket by 3)

= 12x + 1 (Simplify)

This means that:

12x + 1 = 3(4x + 1) - 2

is the same as

12x + 1 = 12x + 1

Hence, anything that is used to substitute x is correct.

4 0

3 years ago

Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.

natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is $y=x-x^2-2$ and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

$y'=1-2x$

It can be written as

$\frac{dy}{dx}=1-2x$

Use variable separable method to solve this differential equation.

$dy=(1-2x)dx$

Integrate both the sides.

$\int dy=\int (1-2x)dx$

$y=x-2(\frac{x^2}{2})+C$ $[\because \int x^n=\frac{x^{n+1}}{n+1}]$

$y=x-x^2+C$ ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

$-2=1-(1)^2+C$

$-2=1-1+C$

$-2=C$

The value of C is -2. Substitute C=-2 in equation (1).

$y=x-x^2-2$

Therefore the solution of the given initial value problems in explicit form is $y=x-x^2-2$ .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0

3 years ago

Solve the equation. Check your solution.

VladimirAG [237]

-5x/6 + 1=7/18
lowest common multiple=18
-15x+18=7
-15x=7-18
-15x=-11
x=-11/-15=11/15

The solution set is [11/15]

we check it out.
-5(11/15) /6 + 1 =7/18
(-55/15) / 6 +1=7/18
-55/90 + 1=7/18
(-55+90) /90=7/18
35/90=7/18
7/18=7/18

5 0

4 years ago